{
  "id": "1703.03057",
  "version": "v1",
  "published": "2017-03-08T22:14:00.000Z",
  "updated": "2017-03-08T22:14:00.000Z",
  "title": "Gauss-Manin systems of families of Laurent polynomials and A-hypergeometric systems",
  "authors": [
    "Thomas Reichelt",
    "Uli Walther"
  ],
  "comment": "23 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "In this note we study families of Gauss-Manin systems arising from Laurent polynomials with parametric coefficients under projection to the parameter space. For suitable matrices of exponent vectors, we exhibit a natural four-term exact sequence for which we then give an interpretation via generalized A-hypergeometric systems. We determine the extension groups from the parameter sheaf to the middle term of this sequence and show that the four-term sequence does not split. Auxiliary results include the computation of Ext and Tor groups of A-hypergeometric systems against the parameter sheaf.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-08T22:14:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "13N10",
      "14M25",
      "32C38",
      "32S40",
      "33C70"
    ],
    "keywords": [
      "laurent polynomials",
      "gauss-manin systems",
      "parameter sheaf",
      "natural four-term exact sequence",
      "middle term"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}